Theorem dfom3 4569

Description: Alias for df-iom 4568. Use it instead of df-iom 4568 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4568	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 103   = wceq 1343   e. wcel 2136   {cab 2151   A.wral 2444   (/)c0 3409   |^|cint 3824   suc csuc 4343   omcom 4567

This theorem depends on definitions:  df-iom 4568

This theorem is referenced by:  omex  4570  peano1  4571  peano2  4572  peano5  4575  bj-dfom  13815